WINDOW GLASS
19. A window glass ABCD is rectangular in shape. Point P is any point on side CD as
shown. This divides ABCD in two geometrical shapes: trapezium and triangle. Also
one triangle PCQ is attached along side CD of rectangle ABCD as shown. Hear, APO
and BCQ are in straight line.
D
10 cm
P
5 cm
С
a
24 cm
B
(ii)
12 cm
(iii)
13 cm
(iv)
10 cm
112 cm
(iii)
39 cm
(iv)
1522
(a) find CQ
(i) 5 cm
(b) find AQ
(i)
15 cm
(c) AP:PQ-
(i) 2:1
(d) AP-
(i)
26 cm
(e) PQ
(i)
13 cm
1:3
(iii)
2:3
(iv)
1:4
Gam
12 cm
(iii)
13 cm
(iv)
39 cm
10 cm
26 cm
(iv)
5 cm
Answers
Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 10,125(1.83)x
Account B shows the greater percentage
change
Step-by-step explanation:
Part A: Percent change from exponential
formula
f(x) = 9628(0.92)*
The general formula for an exponential
function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay
function.
f(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an
exponential decay function as:
y= a(1 – b)”, where
1- b = the decay factor
b = the percent change in decimal
form
If we compare the two formulas, we find
0.92 = 1- b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8%. The account is decreasing at an annual rate of 10.00%.
Account B recorded a greater percentage change in the amount of money over the previous year.
Answer:
Answer are
46: 12cm
47: 39cm
48: 2:1
49: 26cm
50: 13cm
Thank you